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10130212323 = 337211263281
BaseRepresentation
bin10010110111100111…
…01100010111100011
3222010222210002212000
421123303230113203
5131221313243243
64353113335043
7506015245500
oct113363542743
928128702760
1010130212323
114329271500
121b68707483
13c5597b79a
146c157a4a7
153e452e5d3
hex25bcec5e3

10130212323 has 72 divisors (see below), whose sum is σ = 19189633680. Its totient is φ = 5262364800.

The previous prime is 10130212321. The next prime is 10130212357. The reversal of 10130212323 is 32321203101.

10130212323 is a `hidden beast` number, since 1 + 0 + 130 + 212 + 323 = 666.

It is not a de Polignac number, because 10130212323 - 21 = 10130212321 is a prime.

It is a super-4 number, since 4×101302123234 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10130212296 and 10130212305.

It is not an unprimeable number, because it can be changed into a prime (10130212321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128443 + ... + 191723.

It is an arithmetic number, because the mean of its divisors is an integer number (266522690).

Almost surely, 210130212323 is an apocalyptic number.

10130212323 is a deficient number, since it is larger than the sum of its proper divisors (9059421357).

10130212323 is a wasteful number, since it uses less digits than its factorization.

10130212323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63326 (or 63302 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10130212323 its reverse (32321203101), we get a palindrome (42451415424).

The spelling of 10130212323 in words is "ten billion, one hundred thirty million, two hundred twelve thousand, three hundred twenty-three".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 121 147 189 231 297 363 441 539 693 847 1089 1323 1617 2079 2541 3267 4851 5929 7623 14553 17787 22869 53361 63281 160083 189843 442967 569529 696091 1328901 1708587 2088273 3100769 3986703 4872637 6264819 7657001 9302307 11960109 14617911 18794457 22971003 27906921 34108459 43853733 53599007 68913009 83720763 102325377 131561199 160797021 206739027 306976131 375193049 482391063 920928393 1125579147 1447173189 3376737441 10130212323